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Finding the Fourth Proportional to 2,984.84, 4,113.92 and 2,143.24

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Solution

The fourth proportional to 2,984.84, 4,113.92 and 2,143.24 is: 2,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.84 : 4,113.92 = 2,143.24 : x
  2. Step 2: Convert to fraction form
    2,984.84/4,113.92 = 2,143.24/x
  3. Step 3: Cross multiply
    2,984.84x = 4,113.92 × 2,143.24
  4. Step 4: Simplify right side
    2,984.84x = 8,817,117.90
  5. Step 5: Solve for x
    x = 8,817,117.90/2,984.84
  6. Step 6: Final answer
    x = 2,953.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.